单面约束力学系统的Noether理论

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基金项目: 国家自然科学基金(19572018);高校博士点基金

Noether’s Theory of Mechanical Systems With Unilateral Constraints

1.
Suzhou Institute of Urban Construction & Environmental Protection, Suzhou 215011, P R China;
2.
Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, P R China

摘要: 应用变换群G_r的无限小群变换的广义准对称性,给出了受单面约束的动力学系统的Noether理论,并举例说明结果的应用.
- 分析力学 /
- 单面约束 /
- 守恒律 /
- 对称性 /
- Noether定理
Abstract: Noether's theory of dynamical systems with unilateral constraints by introducing the generalized quasi-symmetry of the infinitesimal transformation for the transformation group G_r is presented and two examples to illustrate the application of the result are given.
- analytical mechanics /
- unilateral constraint /
- conservation law /
- symmetry /
- Noether’s theorem

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